Velocity of Sound in Solids Calculator

✖Elasticity is a measure of how much a material compresses or expands when a force is applied to it, affecting the speed of sound propagation and resonance within the material.ⓘ Elasticity [E]			+10% -10%
✖Density is the measure of how tightly packed the molecules of a substance are, affecting the speed of sound propagation through it, and is an important factor in sound resonance.ⓘ Density [ρ]			+10% -10%

✖Velocity of Sound is the speed at which sound waves propagate through a physical medium, such as air, water, or solids, and is a fundamental property in physics and engineering.ⓘ Velocity of Sound in Solids [v_speed]

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Formula

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Velocity of Sound in Solids

Formula

v speed = \sqrt{\frac{E}{ρ}}

Example

1480.912 m/s = \sqrt{\frac{2186.52 MPa}{997 kg/m³}}

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Velocity of Sound in Solids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Sound = sqrt(Elasticity/Density)
v_speed = sqrt(E/ρ)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity of Sound - (Measured in Meter per Second) - Velocity of Sound is the speed at which sound waves propagate through a physical medium, such as air, water, or solids, and is a fundamental property in physics and engineering.
Elasticity - (Measured in Pascal) - Elasticity is a measure of how much a material compresses or expands when a force is applied to it, affecting the speed of sound propagation and resonance within the material.
Density - (Measured in Kilogram per Cubic Meter) - Density is the measure of how tightly packed the molecules of a substance are, affecting the speed of sound propagation through it, and is an important factor in sound resonance.

STEP 1: Convert Input(s) to Base Unit

Elasticity: 2186.52 Megapascal --> 2186520000 Pascal (Check conversion here)
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_speed = sqrt(E/ρ) --> sqrt(2186520000/997)

Evaluating ... ...

v_speed = 1480.9116441887

STEP 3: Convert Result to Output's Unit

1480.9116441887 Meter per Second --> No Conversion Required

FINAL ANSWER

1480.9116441887 ≈ 1480.912 Meter per Second <-- Velocity of Sound

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

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< Sound Propagation Calculators

Velocity of Sound in Liquid

Go Velocity of Sound = sqrt(Bulk Modulus/Density)

Velocity of Sound in Solids

Go Velocity of Sound = sqrt(Elasticity/Density)

Intensity of Sound

Go Sound Intensity = Power/Normal Area

Velocity of Sound in Solids Formula

Velocity of Sound = sqrt(Elasticity/Density)
v_speed = sqrt(E/ρ)

What is Simple Harmonic Motion?

Simple Harmonic Motion (SHM) is a type of periodic motion where an object oscillates back and forth around an equilibrium position. The restoring force is directly proportional to the displacement from this position and acts towards it. Examples include the motion of a pendulum and a mass-spring system.

How to Calculate Velocity of Sound in Solids?

Velocity of Sound in Solids calculator uses Velocity of Sound = sqrt(Elasticity/Density) to calculate the Velocity of Sound, Velocity of Sound in Solids formula is defined as a measure of the speed at which sound waves propagate through a solid medium, influenced by the elastic properties and density of the material, providing valuable insights into the material's internal structure and composition. Velocity of Sound is denoted by v_speed symbol.

How to calculate Velocity of Sound in Solids using this online calculator? To use this online calculator for Velocity of Sound in Solids, enter Elasticity (E) & Density (ρ) and hit the calculate button. Here is how the Velocity of Sound in Solids calculation can be explained with given input values -> 100.1503 = sqrt(2186520000/997).

FAQ

What is Velocity of Sound in Solids?

Velocity of Sound in Solids formula is defined as a measure of the speed at which sound waves propagate through a solid medium, influenced by the elastic properties and density of the material, providing valuable insights into the material's internal structure and composition and is represented as v_speed = sqrt(E/ρ) or Velocity of Sound = sqrt(Elasticity/Density). Elasticity is a measure of how much a material compresses or expands when a force is applied to it, affecting the speed of sound propagation and resonance within the material & Density is the measure of how tightly packed the molecules of a substance are, affecting the speed of sound propagation through it, and is an important factor in sound resonance.

How to calculate Velocity of Sound in Solids?

Velocity of Sound in Solids formula is defined as a measure of the speed at which sound waves propagate through a solid medium, influenced by the elastic properties and density of the material, providing valuable insights into the material's internal structure and composition is calculated using Velocity of Sound = sqrt(Elasticity/Density). To calculate Velocity of Sound in Solids, you need Elasticity (E) & Density (ρ). With our tool, you need to enter the respective value for Elasticity & Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity of Sound?

In this formula, Velocity of Sound uses Elasticity & Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity of Sound = sqrt(Bulk Modulus/Density)

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